In this paper, we have proposed a Haar wavelet quasilinearization method to solve the well known Blasius equation. The method is based on the uniform Haar wavelet operational matrix defined over the interval [0, 1]. In this method, we have proposed the transformation for converting the problem on a fixed computational domain. The Blasius equation arises in the various boundary layer problems of...

The generalized equation of Blasius arises in the boundary layer problems of hydrodynamics. We consider the decomposition solutions [10] of the Blasius equation u + auu = 0 and compare them to our numerical solutions.

in this work, the blasius equation is studied. homotopy perturbation method (hpm) and homotopy analysis method (ham) are applied to obtain its solution. comparison with variational iteration method (vim) is made to highlight the significant features of employed methods and their capability of handling nonlinear problems. the outcome shows the success of (hpm) and (ham) for solving nonlinear pro...

The Blasius problem f ′′′ + ff ′′ = 0, f(0) = −a, f ′(0) = b, f ′(+∞) = λ is investigated, in particular in the difficult and scarcely studied case b < 0 λ. The shape and the number of solutions are determined. The method is first to reduce to the Crocco equation uu′′ + s = 0 and then to use an associated autonomous planar vector field. The most useful properties of Crocco solutions appear to b...

this paper studied the mathematical method of flow with regard to two-phase boundary layer that created over the iced surface. based on experimental results, skin drag over the iced surface compared with this force that compute with slip condition. based on this results, for iced surface blasius equation solving at non-slip condition, can replace with solving the blasius equation with slip cond...

An integrated Neural Network and Gravitational Search Algorithm (HNNGSA) are used to solve Blasius differential equation. To aim this purpose, GSA technique is applied to train a multi-layer perceptron neural network, which is used as approximation solution of the Blasius differential equation. A trial solution of the differential equation is written as sum of two parts. The first part satisfie...

The Blasius equation describes the properties of steady-state two dimensional boundary layer forming over a semi-infinite plate parallel to a unidirectional flow field. The flow is governed by a modified Blasius equation when the surface is aligned along the flow. In this paper, we demonstrate using numerical solution, that as the wedge angle increases, bifurcation occurs in the nonlinear Blasi...

In this article, the problem of an incompressible viscous flow over a flat plate is presented. The homotopy perturbation method (HPM) is employed to solve the well-known Blasius nonlinear differential equation. It has been tried to use a new technique by which one be able to obtain solutions that are very close to the exact solution of the equation. The obtained results have been compared with ...

The Navier-Stokes equations for the boundary layer are transformed, by a similarity transformation, into the ordinary Blasius differential equation which, together with appropriate boundary conditions constitutes the Blasius problem, f ′′′(η) + 1 2 f(η)f ′′(η) = 0, f(0) = 0, f ′(0) = 0, f ′(∞) = 1. The well-posedness of the Navier-Stokes equations is an open problem. We solve this problem, in t...